Finding the Third Proportional to 3,632 and 5,972

Step by Step Solution

1. Step 1: Write the proportion equation
   3,632 : 5,972 = 5,972 : x
2. Step 2: Convert to fraction form
   3,632/5,972 = 5,972/x
3. Step 3: Cross multiply
   3,632x = 5,972 × 5,972
4. Step 4: Simplify right side
   3,632x = 35,664,784
5. Step 5: Solve for x
   x = 35,664,784/3,632
6. Step 6: Final answer
   x = 9,819.60